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Finding the Third Proportional to 286,801.31 and 618,504.19

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Solution

The third proportional to 286,801.31 and 618,504.19 is: 1,333,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,801.31 : 618,504.19 = 618,504.19 : x
  2. Step 2: Convert to fraction form
    286,801.31/618,504.19 = 618,504.19/x
  3. Step 3: Cross multiply
    286,801.31x = 618,504.19 × 618,504.19
  4. Step 4: Simplify right side
    286,801.31x = 382,547,429,955.04
  5. Step 5: Solve for x
    x = 382,547,429,955.04/286,801.31
  6. Step 6: Final answer
    x = 1,333,841.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.